66 citations · 691 across the 59 of their papers we have counts for
4 papers · 1 filter
An -type estimate for Riesz potentials
Armin Schikorra, Daniel Spector, Jean Van Schaftingen
In this paper we establish new -type estimates for the classical Riesz potentials of order : \[ \|I_αu\|_{L^{N/(N-α)}(\mathbb{R}^N)} \leq C \|Ru\|_{L^1(\mathbb{R}…
A notion of nonpositive curvature for general metric spaces
Miroslav Bačák, Bobo Hua, Jürgen Jost +2
We introduce a new definition of nonpositive curvature in metric spaces and study its relationship to the existing notions of nonpositive curvature in comparison geometry. The main…
Lp-gradient harmonic maps into spheres and SO(N)
Armin Schikorra
We consider critical points of the energy , where maps locally into the sphere or , and $\nabla^s = (\partial_1^s…
Integro-differential harmonic maps into spheres
Armin Schikorra
We introduce (integro-differential) harmonic maps into spheres, which are defined as critical points of the Besov-Slobodeckij energy $\int\limits_Ω\int\limits_Ω \frac{|v(x)-v(y)|^{…